Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 May 2017, 03:43

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# M20-02. If x is a prime number, what is the greatest factor

Author Message
Math Expert
Joined: 02 Sep 2009
Posts: 38953
Followers: 7747

Kudos [?]: 106400 [0], given: 11626

M20-02. If x is a prime number, what is the greatest factor [#permalink]

### Show Tags

23 May 2014, 09:51
m20 q02

If $$x$$ is a prime number, what is the greatest factor of $$x^2$$?

(1) $$x^2$$ is an odd number
(2) The greatest common factor of $$x$$ and 6 is 3
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 38953
Followers: 7747

Kudos [?]: 106400 [0], given: 11626

Re: M20-02. If x is a prime number, what is the greatest factor [#permalink]

### Show Tags

23 May 2014, 09:57
Official Solution:

If $$x$$ is a prime number, what is the greatest factor of $$x^2$$?

Note that the greatest factor of a positive integer is that positive integer itself. For example the greatest factor of 10 is 10 itself. So, basically we should find the value of $$x$$ to answer the question.

(1) $$x^2$$ is an odd number. This statement just tells us that $$x$$ could be any prime but 2, so it's clearly insufficient to determine the single numerical value of $$x$$.

(2) The greatest common factor of $$x$$ and 6 is 3. Since $$x$$ is a prime number then $$x=3$$ (no other prime can have 3 as a factor), so the greatest factor of $$x^2=9$$ is 9. Sufficient,

_________________
Re: M20-02. If x is a prime number, what is the greatest factor   [#permalink] 23 May 2014, 09:57
Similar topics Replies Last post
Similar
Topics:
M04#07 If x is an integer, what is the value of x? 4 03 Mar 2014, 05:52
4 M26-25 If x and y are negative numbers 14 12 Aug 2014, 01:58
factors 3 12 Nov 2010, 19:05
divisors and factors 9 06 Jan 2011, 01:55
29 What is the number of integers from 1 to 1000 (m07q14) 18 09 Apr 2013, 08:48
Display posts from previous: Sort by

# M20-02. If x is a prime number, what is the greatest factor

Moderator: Bunuel

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.